Viscous micropump of immiscible fluids using magnetohydrodynamic effects and a power-law conducting fluid


  • Juan Rolando Gómez López Instituto Politécnico Nacional
  • Clara Guadalupe Hernández Roblero Universidad Tecnológica de México
  • Juan Pablo Escandón Colin Instituto Politécnico Nacional
  • René Osvaldo Vargas Aguilar Instituto Politécnico Nacional



Micropump, non-Newtonian fluid, immiscible fluids, magnetohydrodynamics, parallel flat plates microchannel.


Small-scale fluid transport methods have grown significantly in recent years, mainly in applications in microfluidic systems. Therefore, the present study analyzes the movement of two-layers of immiscible fluids within a parallel flat plates microchannel. The fluid layers are composed of a Newtonian fluid and a power-law fluid. The pumping is produced by magnetohydrodynamics effects that act on the non-Newtonian conducting fluid dragging the non-conducting Newtonian fluid by viscous forces. Under the consideration of a laminar, incompressible, and unidirectional flow, the dimensionless mathematical model is established by the momentum equations for each fluid, together with the corresponding boundary conditions at solid-liquid and liquid-liquid interfaces. The problem formulation is semi-analytically solved using the Newton-Raphson method. The results are presented as a function of the velocity profiles and flow rate, showing interesting behaviors that depend on the physical and electrical properties of each fluid and flow conditions via the dimensionless parameters such as the flow behavior index, a magnetic parameter related to Lorenz forces, the fluids viscosity ratios and the dimensionless liquid-liquid interface position. This work contributes to the understanding of the various immiscible non-conducting fluids pumping techniques that can be used in microdevices.

Author Biographies

Juan Rolando Gómez López, Instituto Politécnico Nacional

Mechanical Engineer by the Instituto Politécnico Nacional at México. Student of Master Degree in Thermofluids at the Escuela Superior de Ingeniería Mecánica y Eléctrica of Instituto Politécnico Nacional at Mexico. Research in electrokinetic flows and magnetohydrodynamic flows, transport phenomena in fluid flows, micropumps and fluids rheology. One publication in a Journal registered in the Journal Citation Reports of the Thomson Reuters.

Clara Guadalupe Hernández Roblero, Universidad Tecnológica de México

Mechanical Engineer and MSc in Thermofluids by the Instituto Politécnico Nacional at México. Currently, professor and researcher at the Universidad Tecnológica de México –UNITEC MÉXICO- Campus Marina-Cuitláhuac at Mexico. Research in electrokinetic and magnetohydrodynamic flows, transport phenomena in heat transfer and fluid flows, micropumps, micromixers, and fluids rheology. Three publications in Journals registered in the Journal Citation Reports of the Thomson Reuters.

Juan Pablo Escandón Colin, Instituto Politécnico Nacional

Mechanical Engineer and MSc in Mechanical Engineering by the Instituto Politécnico Nacional at México. Doctorate in Engineering by the Universidad Nacional Autónoma de México in Mexico.  Currently, professor and researcher at the Escuela Superior de Ingeniería Mecánica y Eléctrica of the Instituto Politécnico Nacional at Mexico. Research in electrokinetic and magnetohydrodynamic flows, transport phenomena in heat transfer and fluid flows, micropumps, micromixers, and fluids rheology. Fifteen publications in Journals registered in the Journal Citation Reports of the Thomson Reuters.

René Osvaldo Vargas Aguilar, Instituto Politécnico Nacional

Chemical Engineer, MSc in Chemical Engineering and PhD in Engineering by the National Autonoumus University of Mexico. Full time professor since 2009 at Escuela Superior de Ingeniería Mecánica y Eléctrica of the National Polytechnic Institute of Mexico. Research interests in non-Newtonian fluid mechanics, complex fluids, polymer processing and computational fluid dynamics.


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